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Rapport Année : 2014

Preprojective algebras and Calabi-Yau duality

Claire Amiot

Résumé

The properties of the preprojective algebra are very di fferent whether the associated quiver is of Dynkin type or not. However in both cases, one can construct from it a triangulated category of Calabi-Yau dimension 2. In this note we explain the generalizations of this fact in the context of higher preprojective algebra, and we give some homological properties that characterize preprojective algebras.
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hal-00980522 , version 1 (18-04-2014)

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Claire Amiot. Preprojective algebras and Calabi-Yau duality. 2014. ⟨hal-00980522⟩
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